Design and Analysis of a Nonlinear Stabilizing Controller for a Mass Structured Cell Population Balance Model With Input Constraints

Beniich, Nadia;Dochain, Denis
(2009) ECC′09 — Location: Budapest, Hungary

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  • Beniich, NadiaUCLouvain
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  • Dochain, DenisUCLouvain
    Author
Abstract
(en) The dynamics of population balance systems are described by partial integro-differential equations. In this paper we are interested in the design and analysis of a nonlinear stabilizing control scheme based on Lyapunov design techniques in order to stabilize the steady state of the cell population balance model in a continuous bioreactor by manipulating the dilution rate. In this specific instance, the model consists of a partial integro-differential equation, describing cell growth, and an ordinary integro-differential equation, accounting for substrate consumption.
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Beniich, N., & Dochain, D. (2009). Design and Analysis of a Nonlinear Stabilizing Controller for a Mass Structured Cell Population Balance Model With Input Constraints. IEEE Xplore digital library (IEEE/IET Electronic Library). Published. ECC′09, Budapest, Hungary. https://hdl.handle.net/2078.5/63473 (Original work published 2009)